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89340 = 22351489
BaseRepresentation
bin10101110011111100
311112112220
4111303330
510324330
61525340
7521316
oct256374
9145486
1089340
1161139
1243850
1331884
14247b6
151b710
hex15cfc

89340 has 24 divisors (see below), whose sum is σ = 250320. Its totient is φ = 23808.

The previous prime is 89329. The next prime is 89363. The reversal of 89340 is 4398.

It is a self number, because there is not a number n which added to its sum of digits gives 89340.

It is a congruent number.

It is an unprimeable number.

89340 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 685 + ... + 804.

It is an arithmetic number, because the mean of its divisors is an integer number (10430).

289340 is an apocalyptic number.

It is an amenable number.

89340 is an abundant number, since it is smaller than the sum of its proper divisors (160980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125160).

89340 is a wasteful number, since it uses less digits than its factorization.

89340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 89340 is about 298.8979759048. The cubic root of 89340 is about 44.7042331421.

The spelling of 89340 in words is "eighty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1489 2978 4467 5956 7445 8934 14890 17868 22335 29780 44670 89340